Question

The teal line of the hydrogen emission spectrum has a wavelength of 486.0 nm.486.0 nm. Calculate the energy of one photon of this light.

Answer 1

4.086 × 10⁻¹⁹ J

Step-by-step explanation:

Step 1: Given and required data

• Wavelength of the teal line of the hydrogen emission spectrum (λ): 486.0 nm

• Speed of light (c): 2.997 × 10⁸ m/s

• Planck's constant (h): 6.626 × 10⁻³⁴ J.s

Step 2: Convert "λ" to meters

We will use the conversion factor 1 m = 10⁹ nm.

486.0 nm × 1 m/10⁹ nm = 4.860 × 10⁻⁷ m

Step 3: Calculate the energy of one photon of this light

We will use the Planck-Einstein's relation.

E = h × c / λ

E = 6.626 × 10⁻³⁴ J.s × 2.997 × 10⁸ m/s / 4.860 × 10⁻⁷ m

E = 4.086 × 10⁻¹⁹ J